9(z+4)-3(z-1)=2(z-2)+3(z-1)

Solution for 9(z+4)-3(z-1)=2(z-2)+3(z-1) equation:

Simplifying
9(z + 4) + -3(z + -1) = 2(z + -2) + 3(z + -1)

Reorder the terms:
9(4 + z) + -3(z + -1) = 2(z + -2) + 3(z + -1)
(4 * 9 + z * 9) + -3(z + -1) = 2(z + -2) + 3(z + -1)
(36 + 9z) + -3(z + -1) = 2(z + -2) + 3(z + -1)

Reorder the terms:
36 + 9z + -3(-1 + z) = 2(z + -2) + 3(z + -1)
36 + 9z + (-1 * -3 + z * -3) = 2(z + -2) + 3(z + -1)
36 + 9z + (3 + -3z) = 2(z + -2) + 3(z + -1)

Reorder the terms:
36 + 3 + 9z + -3z = 2(z + -2) + 3(z + -1)

Combine like terms: 36 + 3 = 39
39 + 9z + -3z = 2(z + -2) + 3(z + -1)

Combine like terms: 9z + -3z = 6z
39 + 6z = 2(z + -2) + 3(z + -1)

Reorder the terms:
39 + 6z = 2(-2 + z) + 3(z + -1)
39 + 6z = (-2 * 2 + z * 2) + 3(z + -1)
39 + 6z = (-4 + 2z) + 3(z + -1)

Reorder the terms:
39 + 6z = -4 + 2z + 3(-1 + z)
39 + 6z = -4 + 2z + (-1 * 3 + z * 3)
39 + 6z = -4 + 2z + (-3 + 3z)

Reorder the terms:
39 + 6z = -4 + -3 + 2z + 3z

Combine like terms: -4 + -3 = -7
39 + 6z = -7 + 2z + 3z

Combine like terms: 2z + 3z = 5z
39 + 6z = -7 + 5z

Solving
39 + 6z = -7 + 5z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-5z' to each side of the equation.
39 + 6z + -5z = -7 + 5z + -5z

Combine like terms: 6z + -5z = 1z
39 + 1z = -7 + 5z + -5z

Combine like terms: 5z + -5z = 0
39 + 1z = -7 + 0
39 + 1z = -7

Add '-39' to each side of the equation.
39 + -39 + 1z = -7 + -39

Combine like terms: 39 + -39 = 0
0 + 1z = -7 + -39
1z = -7 + -39

Combine like terms: -7 + -39 = -46
1z = -46

Divide each side by '1'.
z = -46

Simplifying
z = -46